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Oh, by the way, why not post the entire sentence, so we can see the entire context of Paul's statement:
5: For there is one God, and one mediator of God and men, the man Christ Jesus: 6 Who gave himself a redemption for all, a testimony in due times.
No one claims the Pope is a mediator for redemption, nor should they.
But as Christ appointed him, so shall he and his successors lead.

Well if you're really interested in context, let's look at the context:

1Ti 2:1 First of all, then, I urge that entreaties and prayers, petitions and thanksgivings, be made on behalf of all men,
1Ti 2:2 for kings and all who are in authority, so that we may lead a tranquil and quiet life in all godliness and dignity.
1Ti 2:3 This is good and acceptable in the sight of God our Savior,
1Ti 2:4 who desires all men to be saved and to come to the knowledge of the truth.
1Ti 2:5 For there is one God, and one mediator also between God and men, the man Christ Jesus,
1Ti 2:6 who gave Himself as a ransom for all, the testimony given at the proper time.

There's a good reason that Paul mentioned "kings and all in authority" before saying that "one man, Jesus Christ" is the mediator between God and men. It was to make the point that we don't need men to mediate between God and men.

Christ is also the only high priest we need:

Heb 8:1 Now of the things which we have spoken this is the sum: We have such a high priest, who is set on the right hand of the throne of the Majesty in the heavens;

It was to make the point that we don't need men to mediate between God and men.

That doesn't follow at all. You're stretching mightily, but falling.

It was to make the point that we don't need men to mediate between God and men.

Then why did the Apostles appoint bishops in every city?

-A8